Question

if areas of two similar triangle are same prove that they are congruent class10 please ans

Answer 1

if the area of two similer triangle are equal,prove that they are congruent. If two triangles are similer then (1) their corresponding angle are equal (2) their corresponding sides are in the same ratio

Answer 2

area(ABC)=area(DEF)
area(ABC)/area(DEF)=AB²/DE²=BC²/EF²=AC²/DF²
AB²=DE²
BC²=EF²
AC²=DF²
AB=DE
BC=EF
AC=DF

By SSS congruency
ΔABC≈ΔDEF